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Schoolyard has an area of 3,564ft.² the section that is in the shape of a triangle is just for picnic table and what is the area of the section for the picnic tables

Schoolyard has an area of 3564ft the section that is in the shape of a triangle is just for picnic table and what is the area of the section for the picnic tabl class=

Respuesta :

calculista

Answer:

The area of the section for the picnic tables is [tex]1,188\ ft^{2}[/tex]

Step-by-step explanation:

we know that

The area of the schoolyard is equal to the area of a rectangle plus the area of a triangle

so

[tex]3,564=44*(2x-x)+\frac{1}{2}(2x-x)*44\\ \\3,564=44x+22x\\\\3,564= 66x\\ \\x=54\ ft[/tex]

The area of the triangle is equal to

[tex]22x=22*54=1,188\ ft^{2}[/tex]

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